dorsal/arxiv
View SchemaWeakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy
| Authors | A. G. Rossberg, A. Hertrich, L. Kramer, W. Pesch |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9605005 |
| URL | https://arxiv.org/abs/patt-sol/9605005 |
| DOI | 10.1103/PhysRevLett.76.4729 |
Abstract
Quasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotropically aligned liquid crystals. We present a weakly nonlinear analysis leading to amplitude equations which couple the short-wavelength patterning mode with the Goldstone mode resulting from the broken isotropy. The new coefficients in these equations are calculated from the hydrodynamics. Simulations exhibit a new type of spatio-temporal chaos at onset. The results are compared with experiments.
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"abstract": "Quasi two-dimensional pattern forming systems with spontaneously broken\nisotropy represent a novel symmetry class, that is experimentally accessible in\nelectroconvection of homeotropically aligned liquid crystals. We present a\nweakly nonlinear analysis leading to amplitude equations which couple the\nshort-wavelength patterning mode with the Goldstone mode resulting from the\nbroken isotropy. The new coefficients in these equations are calculated from\nthe hydrodynamics. Simulations exhibit a new type of spatio-temporal chaos at\nonset. The results are compared with experiments.",
"arxiv_id": "patt-sol/9605005",
"authors": [
"A. G. Rossberg",
"A. Hertrich",
"L. Kramer",
"W. Pesch"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.76.4729",
"title": "Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy",
"url": "https://arxiv.org/abs/patt-sol/9605005"
},
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